Mathematical Methods using Python Programming

P is Pressure, V is volume, T is temperature. (Equation of State.)

Give a Python implementation of the Newton-Raphson method to find for the given cases. Eg, solve with given values of and . Let accuracy tolerance and maximum number of iterations be parameters of the method. Ensure to print the approximated root at every iteration step.

Using the Newton-Raphson method with and , find the volume of a fluid according to the given equation for the following cases:

Case One:

T = 1.5 and P = 2.3 with initial guess 1.5.

Case Two:

T = 1.5 and P = 2.3 with initial guess 800.

Case Three:

T = 0.75 and P = 2.3 with initial guess 0.0.

Case Four:

T = 0.75 and P = 0.3 with initial guess 3.11.

No = 25 No = 25